Question

The formula for the volume of a cube is s3, where s is the length of one side. Glendale Gourmet sells cheese cubes with a side length of 2 centimeters. The volume of each cheese cube is cubic centimeters. The manager is considering selling cheese cubes with a side length of 4 centimeters. The volume of each cheese cube would be cubic centimeters. The volume of the large cheese cube is times larger than the smaller cheese cube.

Answer 1

The volume of the large cheese cube is eight times larger than the smaller cheese cube.

Explanation:

We are given the following in the question:

Volume of cube =

`s^3`

where s is the length of edge of cube.

Edge of smaller cube = 2 cm

Volume of smaller cube =

`(s)^3 = (2)^3 = 8\text{ cubic centimeters}`

Edge of larger cube = 4 cm

Volume of larger cube =

`(s)^3 = (4)^3 = 64\text{ cubic centimeters}`

Relation between volume of smaller cube and larger cube =

`\text{Volume of larger cube} = 64 = 8(8)\\\text{Volume of larger cube} = 8(\text{Volume of smaller cube} )`

The volume of the large cheese cube is eight times larger than the smaller cheese cube.